Theorem truanfal 1573

Description: A ∧ identity. (Contributed by Anthony Hart, 22-Oct-2010.)

Assertion

Ref	Expression
truanfal	⊢ ((⊤ ∧ ⊥) ↔ ⊥)

Proof of Theorem truanfal

Step	Hyp	Ref	Expression
1		truan 1550	1 ⊢ ((⊤ ∧ ⊥) ↔ ⊥)

Syntax hints:   ↔ wb 205   ∧ wa 395  ⊤wtru 1540  ⊥wfal 1551

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 206  df-an 396  df-tru 1542

This theorem is referenced by:  trunanfal  1581